Advanced Calculus - UT

Vectors & Space Geometry: Studying 3D space, lines, planes, vector-valued functions, and dot/cross product mechanics.Partial Differentiation: Finding partial derivatives, gradients, tangent planes, and extreme values (maxima/minima) of multi-variable functions.Multiple Integrals: Computing double and triple integrals over rectangular, polar, cylindrical, and spherical coordinates to evaluate volume.Vector Calculus Fundamentals: Introduction to line and surface integrals, along with application theorems like Green's Theorem.